38057708932068049481664
38,057,708,932,068,049,481,664 is an even composite number composed of seven prime numbers multiplied together.
38057708932068049481664 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 38057708932068049481664:
26 × 33 × 11 × 19 × 37 × 43 × 66234221543627
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 19 × 37 × 43 × 66234221543627)See below for interesting mathematical facts about the number 38057708932068049481664 from the Numbermatics database.
Names of 38057708932068049481664
- Cardinal: 38057708932068049481664 can be written as Thirty-eight sextillion, fifty-seven quintillion, seven hundred eight quadrillion, nine hundred thirty-two trillion, sixty-eight billion, forty-nine million, four hundred eighty-one thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 3.8057708932068049481664 × 1022
Factors of 38057708932068049481664
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 66234221543742
Divisors of 38057708932068049481664
- Number of divisors d(n): 896
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 19 22 24 27 32 33 36 37 38 43 44 48 54 57 64 66 72 74 76 86 88 96 99 108 111 114 129 132 144 148 152 171 172 176 192 198 209 216 222 228 258 264 288 296 297 304 333 342 344 352 387 396 407 418 432 444 456 473 513 516 528 576 592 594 608 627 666 684 688 703 704 774 792 814 817 836 864 888 912 946 999 1026 1032 1056 1161 1184 1188 1216 1221 1254 1332 1368 1376 1406 1419 1548 1584 1591 1628 1634 1672 1728 1776 1824 1881 1892 1998 2052 2064 2109 2112 2322 2368 2376 2442 2451 2508 2664 2736 2752 2812 2838 3096 3168 3182 3256 3268 3344 3552 3648 3663 3762 3784 3996 4104 4128 4218 4257 4644 4752 4773 4884 4902 5016 5328 5472 5624 5643 5676 6192 6327 6336 6364 6512 6536 6688 7104 7326 7353 7524 7568 7733 7992 8208 8256 8436 8514 8987 9288 9504 9546 9768 9804 10032 10656 10944 10989 11248 11286 11352 12384 12654 12728 12771 13024 13072 13376 14319 14652 14706 15048 15136 15466 15984 16416 16872 17028 17501 17974 18576 18981 19008 19092 19536 19608 20064 21312 21978 22059 22496 22572 22704 23199 24768 25308 25456 25542 26048 26144 26961 28638 29304 29412 30096 30229 30272 30932 31968 32832 33744 34056 35002 35948 37152 37962 38184 39072 39216 40128 42957 43956 44118 44992 45144 45408 46398 50616 50912 51084 52288 52503 53922 57276 58608 58824 60192 60458 61864 63936 67488 68112 69597 70004 71896 74304 75924 76368 78144 78432 80883 85914 87912 88236 90288 90687 90816 92796 101232 101824 102168 105006 107844 114552 117216 117648 120384 120916 123728 134976 136224 139194 140008 143792 151848 152736 156864 157509 161766 171828 175824 176472 180576 181374 185592 202464 204336 208791 210012 215688 229104 234432 235296 241832 242649 247456 272061 272448 278388 280016 287584 303696 305472 315018 323532 332519 343656 351648 352944 361152 362748 371184 404928 408672 417582 420024 431376 458208 470592 472527 483664 485298 494912 544122 556776 560032 575168 607392 630036 647064 665038 687312 703296 705888 725496 742368 816183 817344 835164 840048 862752 916416 945054 967328 970596 997557 1088244 1113552 1120064 1214784 1260072 1294128 1330076 1374624 1411776 1450992 1484736 1632366 1670328 1680096 1725504 1890108 1934656 1941192 1995114 2176488 2227104 2520144 2588256 2660152 2749248 2901984 2992671 3264732 3340656 3360192 3780216 3882384 3990228 4352976 4454208 5040288 5176512 5320304 5803968 5985342 6529464 6681312 7560432 7764768 7980456 8705952 8978013 10080576 10640608 11970684 13058928 13362624 15120864 15529536 15960912 17411904 17956026 21281216 23941368 26117856 30241728 31921824 35912052 47882736 52235712 63843648 71824104 95765472 143648208 191530944 287296416 574592832 66234221543627 132468443087254 198702664630881 264936886174508 397405329261762 529873772349016 596107993892643 728576436979897 794810658523524 1059747544698032 1192215987785286 1258450209328913 1457152873959794 1589621317047048 1788323981677929 2119495089396064 2185729310939691 2384431975570572 2450666197114199 2516900418657826 2848071526375961 2914305747919588 3179242634094096 3576647963355858 3775350627986739 4238990178792128 4371458621879382 4768863951141144 4901332394228398 5033800837315652 5696143052751922 5828611495839176 6358485268188192 6557187932819073 7153295926711716 7351998591342597 7550701255973478 8544214579127883 8742917243758764 9537727902282288 9802664788456796 10067601674631304 11326051883960217 11392286105503844 11657222991678352 12716970536376384 13114375865638146 13842952302618043 14306591853423432 14703997182685194 15101402511946956 17088429158255766 17485834487517528 19075455804564576 19605329576913592 19671563798457219 20135203349262608 22055995774027791 22652103767920434 22784572211007688 23314445983356704 25632643737383649 26228751731276292 26957328168256189 27685904605236086 28613183706846864 29407994365370388 30202805023893912 31328786790135571 33978155651880651 34176858316511532 34971668975035056 38150911609129152 39210659153827184 39343127596914438 40270406698525216 41528856907854129 44111991548055582 45304207535840868 45569144422015376 46562657745169781 46628891966713408 51265287474767298 52457503462552584 53914656336512378 54113359001143259 55371809210472172 57226367413693728 58815988730740776 60405610047787824 62657573580271142 66167987322083373 67956311303761302 68353716633023064 69943337950070112 76897931212150947 78421318307654368 78686255193828876 80540813397050432 80871984504768567 83057713815708258 88223983096111164 90608415071681736 91138288844030752 93125315490339562 93986360370406713 102530574949534596 104915006925105168 105378646475910557 107829312673024756 108226718002286518 110743618420944344 114452734827387456 117631977461481552 120811220095575648 124586570723562387 125315147160542284 132335974644166746 135912622607522604 136707433266046128 139687973235509343 139886675900140224 153795862424301894 156842636615308736 157372510387657752 161743969009537134 162340077003429777 166115427631416516 176447966192222328 181216830143363472 182276577688061504 186250630980679124 187972720740813426 205061149899069192 209830013850210336 210757292951821114 215658625346049512 216453436004573036 221487236841888688 235263954922963104 241622440191151296 242615953514305701 249173141447124774 250630294321084568 264671949288333492 271825245215045208 273414866532092256 279375946471018686 281959081111220139 307591724848603788 314745020775315504 316135939427731671 323487938019074268 324680154006859554 332230855262833032 352895932384444656 362433660286726944 372501261961358248 373759712170687161 375945441481626852 410122299798138384 419063919706528029 419660027700420672 421514585903642228 431317250692099024 432906872009146072 442974473683777376 470527909845926208 485231907028611402 487020231010289331 498346282894249548 501260588642169136 512189235196867591 529343898576666984 543650490430090416 546829733064184512 558751892942037372 563918162222440278 595246949012575849 615183449697207576 629490041550631008 632271878855463342 646975876038148536 649360308013719108 664461710525666064 705791864768889312 724867320573453888 727847860542917103 745002523922716496 747519424341374322 751890882963253704 820244599596276768 838127839413056058 843029171807284456 845877243333660417 862634501384198048 865813744018292144 885948947367554752 948407818283195013 970463814057222804 974040462020578662 996692565788499096 1002521177284338272 1024378470393735182 1058687797153333968 1087300980860180832 1117503785884074744 1127836324444880556 1159165111235016127 1190493898025151698 1230366899394415152 1257191759119584087 1258980083101262016 1264543757710926684 1293951752076297072 1298720616027438216 1328923421051332128 1411583729537778624 1455695721085834206 1461060693030867993 1490005047845432992 1495038848682748644 1503781765926507408 1536567705590602773 1640489199192553536 1676255678826112116 1686058343614568912 1691754486667320834 1725269002768396096 1731627488036584288 1785740847037727547 1896815636566390026 1940927628114445608 1948080924041157324 1993385131576998192 2002194283042300583 2005042354568676544 2048756940787470364 2117375594306667936 2174601961720361664 2235007571768149488 2255672648889761112 2318330222470032254 2380987796050303396 2460733798788830304 2514383518239168174 2529087515421853368 2587903504152594144 2597441232054876432 2657846842102664256 2845223454849585039 2911391442171668412 2922121386061735986 2980010095690865984 2990077697365497288 3007563531853014816 3073135411181205546 3352511357652224232 3372116687229137824 3383508973334641668 3463254976073168576 3477495333705048381 3571481694075455094 3793631273132780052 3881855256228891216 3896161848082314648 3986770263153996384 4004388566084601166 4097513881574940728 4234751188613335872 4470015143536298976 4511345297779522224 4609703116771808319 4636660444940064508 4761975592100606792 4921467597577660608 5028767036478336348 5058175030843706736 5175807008305188288 5194882464109752864 5357222541113182641 5690446909699170078 5822782884343336824 5844242772123471972 5980155394730994576 6006582849126901749 6015127063706029632 6146270822362411092 6705022715304448464 6744233374458275648 6767017946669283336 6954990667410096762 7142963388150910188 7587262546265560104 7763710512457782432 7792323696164629296 7973540526307992768 8008777132169202332 8195027763149881456 8940030287072597952 9022690595559044448 9219406233543616638 9273320889880129016 9523951184201213584 10057534072956672696 10116350061687413472 10389764928219505728 10432486001115145143 10714445082226365282 11380893819398340156 11645565768686673648 11688485544246943944 11960310789461989152 12013165698253803498 12292541644724822184 13410045430608896928 13534035893338566672 13829109350315424957 13909981334820193524 14285926776301820376 15174525092531120208 15527421024915564864 15584647392329258592 16017554264338404664 16071667623339547923 16390055526299762912 18019748547380705247 18045381191118088896 18438812467087233276 18546641779760258032 19047902368402427168 20115068145913345392 20232700123374826944 20864972002230290286 21428890164452730564 22024137113465306413 22761787638796680312 23291131537373347296 23376971088493887888 23920621578923978304 24026331396507606996 24585083289449644368 26820090861217793856 27068071786677133344 27658218700630849914 27819962669640387048 28571853552603640752 30349050185062240416 31169294784658517184 31297458003345435429 32035108528676809328 32143335246679095846 32780111052599525824 36039497094761410494 36877624934174466552 37093283559520516064 38095804736804854336 40230136291826690784 41729944004460580572 42857780328905461128 44048274226930612826 45523575277593360624 46582263074746694592 46753942176987775776 48052662793015213992 49170166578899288736 54059245642142115741 54136143573354266688 55316437401261699828 55639925339280774096 57143707105207281504 60698100370124480832 62594916006690870858 64070217057353618656 64286670493358191692 66072411340395919239 72078994189522820988 73755249868348933104 74186567119041032128 80460272583653381568 83459888008921161144 85715560657810922256 88096548453861225652 91047150555186721248 93507884353975551552 96105325586030427984 98340333157798577472 108118491284284231482 110632874802523399656 111279850678561548192 114287414210414563008 125189832013381741716 128140434114707237312 128573340986716383384 132144822680791838478 144157988379045641976 147510499736697866208 166919776017842322288 171431121315621844512 176193096907722451304 182094301110373442496 192210651172060855968 198217234021187757717 216236982568568462964 221265749605046799312 222559701357123096384 250379664026763483432 257146681973432766768 264289645361583676956 288315976758091283952 295020999473395732416 333839552035684644576 342862242631243689024 352386193815444902608 384421302344121711936 396434468042375515434 432473965137136925928 442531499210093598624 500759328053526966864 514293363946865533536 528579290723167353912 576631953516182567904 594651702063563273151 667679104071369289152 704772387630889805216 792868936084751030868 864947930274273851856 885062998420187197248 1001518656107053933728 1028586727893731067072 1057158581446334707824 1153263907032365135808 1189303404127126546302 1409544775261779610432 1585737872169502061736 1729895860548547703712 2003037312214107867456 2114317162892669415648 2378606808254253092604 3171475744339004123472 3459791721097095407424 4228634325785338831296 4757213616508506185208 6342951488678008246944 9514427233017012370416 12685902977356016493888 19028854466034024740832 38057708932068049481664
- Sum of all divisors σ(n): 135018619578817382707200
- Sum of proper divisors (its aliquot sum) s(n): 96960910646749333225536
- 38057708932068049481664 is an abundant number, because the sum of its proper divisors (96960910646749333225536) is greater than itself. Its abundance is 58903201714681283743872
Bases of 38057708932068049481664
- Binary: 10000000111100011100110011110001101101010101000001101111110011101111110000002
- Hexadecimal: 0x80F1CCF1B5506FCEFC0
- Base-36: 673SMP7QDNLHTC0
Squares and roots of 38057708932068049481664
- 38057708932068049481664 squared (380577089320680494816642) is 1448389209158012195356288596777650739072208896
- 38057708932068049481664 cubed (380577089320680494816643) is 55122374942483859061506887063721131097178318927722549399640329682944
-
The
square root of 38057708932068049481664 is 195083851028.3925307607 -
The
cube root of 38057708932068049481664 is 33636764.4082187559
Scales and comparisons
How big is 38057708932068049481664?- 38,057,708,932,068,049,481,664 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 38,057,708,932,068,049,481,664 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 38057708932068049481664 cubic inches would be around 2803063.7 feet tall.
Recreational maths with 38057708932068049481664
- 38057708932068049481664 backwards is 46618494086023980775083
- 38057708932068049481664 is a
Harshad number . - The number of decimal digits it has is: 23
- The sum of 38057708932068049481664's digits is 108
- More coming soon!
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The information we have on file for 38057708932068049481664 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 38057708932068049481664, math, Factors of 38057708932068049481664, curriculum, school, college, exams, university, Prime factorization of 38057708932068049481664, STEM, science, technology, engineering, physics, economics, calculator, thirty-eight sextillion, fifty-seven quintillion, seven hundred eight quadrillion, nine hundred thirty-two trillion, sixty-eight billion, forty-nine million, four hundred eighty-one thousand, six hundred sixty-four.